0.4(2z+6)+11.2=0.6(2z-4)

Solution for 0.4(2z+6)+11.2=0.6(2z-4) equation:

Simplifying
0.4(2z + 6) + 11.2 = 0.6(2z + -4)

Reorder the terms:
0.4(6 + 2z) + 11.2 = 0.6(2z + -4)
(6 * 0.4 + 2z * 0.4) + 11.2 = 0.6(2z + -4)
(2.4 + 0.8z) + 11.2 = 0.6(2z + -4)

Reorder the terms:
2.4 + 11.2 + 0.8z = 0.6(2z + -4)

Combine like terms: 2.4 + 11.2 = 13.6
13.6 + 0.8z = 0.6(2z + -4)

Reorder the terms:
13.6 + 0.8z = 0.6(-4 + 2z)
13.6 + 0.8z = (-4 * 0.6 + 2z * 0.6)
13.6 + 0.8z = (-2.4 + 1.2z)

Solving
13.6 + 0.8z = -2.4 + 1.2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-1.2z' to each side of the equation.
13.6 + 0.8z + -1.2z = -2.4 + 1.2z + -1.2z

Combine like terms: 0.8z + -1.2z = -0.4z
13.6 + -0.4z = -2.4 + 1.2z + -1.2z

Combine like terms: 1.2z + -1.2z = 0.0
13.6 + -0.4z = -2.4 + 0.0
13.6 + -0.4z = -2.4

Add '-13.6' to each side of the equation.
13.6 + -13.6 + -0.4z = -2.4 + -13.6

Combine like terms: 13.6 + -13.6 = 0.0
0.0 + -0.4z = -2.4 + -13.6
-0.4z = -2.4 + -13.6

Combine like terms: -2.4 + -13.6 = -16
-0.4z = -16

Divide each side by '-0.4'.
z = 40

Simplifying
z = 40